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We compute the one loop effective action for a Quantum Field Theory at finite temperature, in the presence of background gauge fields, employing the Heat-Kernel method. This method enables us to compute the thermal corrections to the Wilson…

高能物理 - 理论 · 物理学 2025-02-26 Joydeep Chakrabortty , Subhendra Mohanty

For the first time, we present the model-independent two-loop effective action up to dimension six after integrating out heavy scalar(s) employing the Heat-Kernel method. We compute the effective operators that emerge at two-loop for two…

高能物理 - 唯象学 · 物理学 2026-01-06 Nilabhra Adhikary , Jaydeb Das , Debmalya Dey

We present the universal one-loop effective action up to dimension eight after integrating out heavy fermion(s) using the Heat-Kernel method. We have discussed how the Dirac operator being a weak elliptic operator, the fermionic operator…

高能物理 - 唯象学 · 物理学 2023-08-09 Joydeep Chakrabortty , Shakeel Ur Rahaman , Kaanapuli Ramkumar

The field-theoretic one-loop effective action in a static scalar background depending nontrivially on a single spatial coordinate is related, in the proper-time formalism, to the trace of the evolution kernel (or heat kernel) for an…

高能物理 - 理论 · 物理学 2009-11-07 Chanju Kim , O-Kab Kwon , Choonkyu Lee

We revise the calculation of the one-loop effective action for scalar and spinor fields coupled to the dilaton in two dimensions. Applying the method of covariant perturbation theory for the heat kernel we derive the effective action in an…

高能物理 - 理论 · 物理学 2016-09-06 Yu. V. Gusev , A. I. Zelnikov

We derive the quantum effective action up to second order in gradients and up to two-loop order for an interacting scalar field theory. This expansion of the effective action is useful to study problems in cosmological settings where…

高能物理 - 理论 · 物理学 2024-09-17 Sofia Canevarolo , Tomislav Prokopec

We propose a Heat-Kernel-based method to compute one-loop effective action up to any mass-dimension with arbitrary numbers of non-degenerate scalars and fermions. We demonstrate our prescription by computing the dimension six effective…

高能物理 - 唯象学 · 物理学 2023-11-22 Upalaparna Banerjee , Joydeep Chakrabortty , Shakeel Ur Rahaman , Kaanapuli Ramkumar

We develop a heat kernel method to compute the one-loop effective action for a general class of nonlinear electrodynamic (NLED) theories in four dimensional Minkowski spacetime. Working in the background field formalism, we extract the…

高能物理 - 理论 · 物理学 2026-05-22 Evgeny I. Buchbinder , Darren T. Grasso , Joshua R. Pinelli

We calculate the divergent part of the one-loop effective action in curved spacetime for a particular class of second-order vector field operators with a degenerate principal part. The principal symbol of these operators has the structure…

高能物理 - 理论 · 物理学 2018-10-24 Michael S. Ruf , Christian F. Steinwachs

I review the use of the 2PI effective action in nonequilibrium quantum field theory. The approach enables one to find approximation schemes which circumvent long-standing problems of non-thermal or secular (unbounded) late-time evolutions…

高能物理 - 唯象学 · 物理学 2017-08-23 J. Berges

High-temperature resummed perturbation theory is plagued by poor convergence properties. The problem appears for theories with bosonic field content such as QCD, QED or scalar theories. We calculate the pressure as well as other…

高能物理 - 唯象学 · 物理学 2016-09-06 J. Berges , Sz. Borsanyi , U. Reinosa , J. Serreau

We further develop the new approach, proposed in part I (hep-th/9807072), to computing the heat kernel associated with a Fermion coupled to vector and axial vector fields. We first use the path integral representation obtained for the heat…

高能物理 - 理论 · 物理学 2014-11-18 F. A. Dilkes , D. G. C. McKeon , Christian Schubert

We derive a new kind of recursion relation to obtain the one-particle-irreducible (1PI) Feynman diagrams for the effective action. By using this method, we have obtained the graphical representation of the four-loop effective action in case…

高能物理 - 理论 · 物理学 2008-11-26 Chungku Kim

We consider a scalar field theory with quartic self interaction, Yukawa coupled to fermions in the inflationary de Sitter spacetime background. The scalar has a classical background plus quantum fluctuations, whereas the fermions are taken…

高能物理 - 理论 · 物理学 2025-10-31 Sourav Bhattacharya , Kinsuk Roy

We study the strong-field limit of a theory involving a quantum scalar field coupled to a vector background, which can be either an electromagnetic field or a non-gauge field coupled through the first derivative term. Our approach consists…

We apply the heat kernel method (using Avramidi's non-recursive technique) to the study of the effective action of chiral matter in a complex representation of an arbitrary gauge sector coupled to background U(1) supergravity. This…

高能物理 - 理论 · 物理学 2009-12-02 Daniel Butter

In a previous paper we have presented a general formalism for computing Feynman diagrams for scalar fields in curved spacetime at any loop order using heat kernel methods. The main technique used is the expansion of the fully off-diagonal…

高能物理 - 理论 · 物理学 2025-07-02 Igor Carneiro , Gero von Gersdorff

We show that the one-loop effective action at finite temperature for a scalar field with quartic interaction has the same renormalized expression as at zero temperature if written in terms of a certain classical field $\phi_c$, and if we…

高能物理 - 唯象学 · 物理学 2014-11-21 A. Bessa , F. T. Brandt , C. A. A. de Carvalho , E. S. Fraga

We present the complete one-loop effective action up to dimension eight after integrating out degenerate scalars using the Heat-Kernel method. The result is provided without assuming any specific form of either UV or low energy theories,…

高能物理 - 唯象学 · 物理学 2023-06-16 Upalaparna Banerjee , Joydeep Chakrabortty , Shakeel Ur Rahaman , Kaanapuli Ramkumar

We calculate and discuss the one-loop corrections to the photon sector of QED interacting to a background gravitational field. At high energies the fermion field can be taken as massless and the quantum terms can be obtained by integrating…

高能物理 - 理论 · 物理学 2013-05-29 Bruno Gonçalves , Guilherme de Berredo-Peixoto , Ilya L. Shapiro
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